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230819490 = 2335112331109
BaseRepresentation
bin11011100001000…
…00011010100010
3121002022211211000
431300200122202
5433042210430
634523132430
75501635056
oct1560403242
9532284730
10230819490
11109323110
1265374116
1338a882a5
1422925c66
15153e5e60
hexdc206a2

230819490 has 256 divisors, whose sum is σ = 729907200. Its totient is φ = 51321600.

The previous prime is 230819471. The next prime is 230819527. The reversal of 230819490 is 94918032.

230819490 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2117556 + ... + 2117664.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2230819490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230819490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364953600).

230819490 is an abundant number, since it is smaller than the sum of its proper divisors (499087710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230819490 is a wasteful number, since it uses less digits than its factorization.

230819490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 230819490 is about 15192.7446499966. The cubic root of 230819490 is about 613.4193795341.

The spelling of 230819490 in words is "two hundred thirty million, eight hundred nineteen thousand, four hundred ninety".